Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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look at this shape: which image shows a reflection? a b c
B. Option B shows a reflection.
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segment pm is graphed on the coordinate plane such that point p is loca…
$11$
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look at this shape: which image shows a rotation?
B.
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look at this shape: which image shows a rotation?
B
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look at this shape: which image shows a rotation?
B
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name: nuthayup lee math buzz daily math practice e 017 mr. kapp is buil…
384
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graph the image of rectangle rstu after a dilation with a scale factor …
Graph the rectangle with vertices $R'(-2,-\frac{2}{3})$, $S'(\frac{8}{3},-\frac{2}{3})$, $T'(\frac{8}{3},2)$, $U'(-2,2)$.
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look at this shape: which image shows a reflection? a b c a b c
B
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look at this shape: which image shows a translation? a b c
B.
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look at this shape: which image shows a rotation? a b c
B.
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g is the mid - point of $overline{hj}$. if hj = 27, what is gj?
$13.5$
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look at this shape: which image shows a translation? a b c
A. Image A
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look at this shape: which image shows a reflection? a b c
C.
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look at this shape: which image shows a translation? a b c a b c
B
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a fish tank at an aquarium has a volume of 648 cubic feet and a depth o…
9
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what is the midpoint of $overline{pq}$? what are the segment bisectors …
Mid - point: If \(P(x_1,y_1)\) and \(Q(x_2,y_2)\), mid - point \(M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\). Segment bisectors: Infinitely many lines, rays or line segments that…
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look at this shape: which image shows a translation? a b c a b c
A. Option A
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look at this shape: which image shows a rotation? a b c
A. Option A
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a) find the coordinates of d if e(-6, 4) is the midpoint of $overline{d…
$(-7,11)$
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chico is putting new tile down on his living room floor, which is repre…
D. 80%
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the area of a square garage is 121 square feet. will it fit a car that …
Since the length of each side of the garage is 11 feet, which is less than the length of the car, the car will not fit in the garage. So the answers are: 11, less than, will not f…
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the volume of a cube is 216 cubic centimeters. how long is each side? e…
6
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graph the image of rectangle efgh after a dilation with a scale factor …
The new rectangle has vertices \(E'(-9,6)\), \(F'(3,6)\), \(G'(3,9)\), \(H'(-9,9)\)
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ms. lu is adding a new room to her dollhouse. the room will be a cube w…
4
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find the coordinates of the midpoint of $overline{xy}$ for $x(-2, 3)$, …
$(-5,-3)$
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the volume of a cube is 27 in.³. how long is each side? each side of th…
3 in.
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relate the area of the square to the length of each side. a = 9 cm² sid…
$3$
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example 2: a) find the coordinates of m, the midpoint of $overline{gh}$…
$M(-3,3)$
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15. a rectangular parking lot is divided into two sections separated by…
48000 square feet
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relate the area of the square to the length of each side. a = 9 cm² sid…
3, 3
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1) graph the points a (1, 6) and b (9, 6). find the mid - point of $ove…
1. Mid - point of $\overline{AB}$: $(5,6)$, Distance of $\overline{AB}$: $8$ 2. Mid - point of $\overline{CD}$: $(4,2)$, Distance of $\overline{CD}$: $4$ 3. Mid - point of $\overl…
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a. determine the base, height, and area of each shape. b. discuss: what…
Areas are calculated as in the table: N - 35, M - 20, L - 15, K - 10, J - 10, I - 15 (sq. units)
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1. a point p stays in the same location when it is reflected over line …
1. Point P lies on line l. 2. Rotate Figure M 180° about the origin and then translate it 1 unit to the right and 1 unit down.
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practice & problem solving find the midpoint and length of each segment…
1. **For problems 21 - 24 (finding mid - point and length of line segments):** - First, recall the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) and the mid - point fo…
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main ideas/questions notes distance formula used to find the distance b…
Example 2: $\sqrt{53}$ Example 3: $\sqrt{349}$
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from unit 1, lesson 1 this diagram was constructed with straightedge an…
B. AC
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the area of a square frame is 55 square inches. find the length of one …
a. 7 in b. 7.4 in
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10. $overline{xy}$ is dilated by a scale - factor of 2 to form $overlin…
42
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question find m∠rcb if m∠dcr = 58°, m∠rcb = 28x - 2, and m∠dcb = 42x
$110^{\circ}$
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9. the segment below is dilated by a scale factor of 3 to form $overlin…
The measure of $\overline{X'Y'}$ is 3 times the measure of $\overline{XY}$.
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question if m∠fhc = 73°, then what is m∠fhd?
$107^{\circ}$
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name constant of proportionality: equation: c = problem 4 a map of colo…
Constant of proportionality: $3.14$ Equation: $C = 3.14d$ ### Problem 4 (comparing map - scales)
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question which angle number represents the linear pair of ∠sxt?
∠SXR
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question. if m∠nsm = 84°, then what is m∠msp?
$96^{\circ}$
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from unit 1, lesson 4 3. reflect polygon p using line l. from unit 1, l…
The reflected polygon of $P$ over line $\ell$ is obtained by following the above steps. (Since no specific coordinates of vertices of $P$ or equation of line $\ell$ are given, a v…
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7. $overline{sw}$ bisects $angle{rst}$ and $mangle{rst}=72^{circ}$. $ov…
$m\angle{RSZ}=18^{\circ}$ $m\angle{NSZ}=54^{\circ}$
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3. what is the image of (-12, 12) after a dilation by scale factor of $…
$(-6,6)$
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early colonies quiz word bank 1620 1607 triangle trade columbian exchan…
1. 1607 2. Columbian Exchange 3. Mayflower Compact 4. Jamestown 5. House of Burgesses 6. God, Gold, Glory 7. Triangle Trade 8. Mercantilism
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2. describe a sequence of transformations that takes trapezoid a to tra…
First, rotate trapezoid A 90 - degree counter - clockwise about a suitable point. Then, translate the rotated trapezoid to the right and down by appropriate units. ### 3.
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heres the expression that alisha entered to find the area of her triang…
8 represents the base of the triangle in cm. 5 represents the height of the triangle in cm. $\frac{1}{2}$ is the coefficient in the area - of - triangle formula $\frac{1}{2}bh$.
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using the pencil, plot the point (6, - 1).
Plot the point 6 units right of the origin and 1 unit down.
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using the pencil, plot the point (-2, 6).
The point (-2, 6) is plotted 2 units to the left of the y - axis and 6 units above the x - axis.
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challenge: holly wants to make a frame for a painting. the painting is …
81
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do not put space between the characters. example: 3x+4 or 1/2x - 3 simp…
1. $-4n - 5$ 2. $4x-4y - 8$ 3. $4 - 3x$ 4. $8x-29$ 5. $6x + 3$ 6. $8v + 52$
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which triangle is similar to △abc if sin(a) = 1/4, cos(a) = √15/4, and …
The triangle similar to $\triangle ABC$ is $\triangle XYZ$.
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△abc. what are the angles that make the trigonometric statements true? …
First blank: A Second blank: A
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what is the value of tan(60°)? ○ 1/2 ○ √3 ○ √3/2 ○ 1/√3
$\sqrt{3}$
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use the diagram of triangle xyz to answer the questions. what is the le…
Length of XY: 10 sin(X): $\frac{4}{5}$ cos(X): $\frac{3}{5}$ tan(X): $\frac{4}{3}$
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what additional information would be necessary to determine sin(a) with…
The length of $BC$ is needed because it is the side opposite $\angle A$.
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the area of a square patio is 196 square feet. how long is each side of…
14
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graph the image of rectangle cdef after a dilation with a scale factor …
The new vertices of the dilated rectangle are \(C'(-8,-10)\), \(D'(10,-10)\), \(E'(10,2)\), \(F'(-8,2)\). Graph by plotting these points and connecting them.
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the volume of a cube - shaped crate is 27 cubic feet. what is the lengt…
3
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use the diagram and side lengths of triangle rst to determine the angle…
$\sin(T)=\frac{12}{13}$, $\tan(R)=\frac{5}{12}$
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which statements are true regarding triangle lmn? check all that apply.…
$\tan(45^{\circ}) = 1$, $LM = x\sqrt{2}$, $NM = x$
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in exercises 23 - 30, graph the inequality. (see example 3.) 23. $xgeq2…
For \(x\geq2\): Mark a closed circle at \(x = 2\) and shade to the right. For \(t < - 1\): Mark an open circle at \(t=-1\) and shade to the left.
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what are the values of the three trigonometric ratios for angle l, in s…
$\sin(L)=\frac{4}{5}$, $\cos(L)=\frac{3}{5}$, $\tan(L)=\frac{4}{3}$
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identify the triangle that contains an acute angle for which the sine a…
The second triangle (with angles $45^{\circ},45^{\circ},90^{\circ}$)
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b. figure wxuy is the image of figure stuv. identify the corresponding …
- $\overline{ST}$ and $\overline{WX}$; $\overline{SV}$ and $\overline{YW}$; $\overline{TU}$ and $\overline{XU}$; $\overline{UV}$ and $\overline{UY}$; $\angle S$ and $\angle W$; $\…
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point m is the midpoint between points p and f, find the values of x, p…
x = 4, PM = 16, MF = 16 Ahora, para el sub - problema 13:
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consider △lnm. which statements are true for triangle lnm? check all th…
The hypotenuse is LN. The side opposite ∠N is ML. The side adjacent ∠N is NM. The side opposite ∠L is NM. The side adjacent ∠L is ML.
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solve the compound inequality. graph the solution - set and write it in…
The correct graph is the one with an open circle at \(x=-5\), an open circle at \(x = 5\), and the line segment between them shaded. The solution set in interval notation is \((-5…
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use the graph to answer the questions. 1. what kind of graph is shown? …
circle graph 25-44 18-24 25-44 and 45-64 32,362,600 77,612,841 248,709,860
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find the value of x. then find the angle measures of the triangle. 3x° …
\(x = 35\) \(35^{\circ},40^{\circ},105^{\circ}\)
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find the value of x so that l||m. state the converse used
$x = 7.75$, Corresponding - Angles Converse
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find the value of x so that l||m. state the converse used
\(x = 31\), Converse of corresponding - angles postulate.
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solve the compound - inequality. graph the solution set and write it in…
The solution set in interval notation is \((-1,5)\). The correct graph is the one that shows an open - circle at \(-1\), an open - circle at \(5\), and a line segment connecting t…
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find the value of x. then find the angle measures of the triangle. sum …
\(x = 28\) \(28^{\circ},40^{\circ},112^{\circ}\)
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graph the image of △efg after a dilation with a scale factor of 1/3, ce…
Plot points $E'(-2,3)$, $F'(\frac{7}{3},3)$, $G'(-2,-3)$ and connect them.
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what is the area of the dartboard? use 3.14 for π. round to the nearest…
254.34
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(from unit 1, lesson 2.) 4. this diagram was created by starting with p…
B. Construct a circle centered at C. C. Construct a circle centered at D. E. Draw the line through points C and D. F. Draw the line through points A and B.
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which trigonometric ratios are correct for triangle xyz? check all that…
$\sin(Y)=\frac{8}{17}$, $\tan(X)=\frac{15}{8}$
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graph the image of △qrs after a dilation with a scale factor of 4, cent…
Plot the points $(-8,4)$, $(8,4)$ and $(-8,8)$ and connect them to get the dilated triangle.
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find the area of the circle. use 3.14 for π. round to the nearest hundr…
$38.47$
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a. the radius of the select choice 484π 11π 30.25π 121π
$30.25\pi$
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2. in this diagram, line segment cd is the perpendicular bisector of li…
Point E is closer to point A.
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a. a square has side length 4 cm. what is its area? b. the area of a sq…
a. 16 cm² b. 7 m c. 27 in³
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graph the image of △fgh after a dilation with a scale factor of 2, cent…
Graph the points \(F'(-10,6)\), \(G'(10,6)\) and \(H'(-10,-10)\) and connect them to get the dilated triangle.
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problem 4 a. a square has side length 4 cm. what is its area? b. the ar…
a. 16 cm² b. 7 m c. 27 in³
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lesson 3 practice problems 1. this diagram is a straightedge and compas…
A. Line CD is perpendicular to segment AB B. Point M is the midpoint of segment AB E. \(CB + BD>CD\)
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what is the value of sin(a)?
$0.6$
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which pair of triangles are similar?
The first pair of triangles are similar.
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determine if (lparallel m). if yes, state the converse that proves the …
\(l\parallel m\) by Converse of same side interior angles
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consider △abc - △xyz. what is the value of tan(a)? what is the value of…
$\tan(A)=\frac{3}{4}$, $\tan(X)=\frac{3}{4}$, the two tangent ratios are equal.
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what is the measurement of this angle?
90 degrees
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what is the measurement of this angle?
$125^{\circ}$
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what is the measurement of this angle?
55°
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resolución de problemas 2 partiendo desde el punto a, en la dirección d…
32,48 m
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point (x, y) is rotated 90° counterclockwise around the origin, and the…
$(-y - 1,x + 3)$
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consider △lmn. m∠l + m∠m = < sin(l) = < sin(m) = <
$\sin(M)\approx0.7431$, $\sin(L)\approx0.6691$, $m\angle L + m\angle M = 90^{\circ}$
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here are the pre - image and image coordinates of points on a graph. de…
The transformation is a 90 - degree counter - clockwise rotation about the origin followed by a translation.